Question

Which expression is equivalent to (x27y)^1/3

Answer 1

Answer:

$(x^{9}y^\frac{1}{3})$

or

$(x^{9}\sqrt[3]{y})$

Step-by-step explanation:

Given in the question an expression

$(x^{27}y )^\frac{1}{3}$

We will apply the power rule

The "power rule" tells us that to raise a power to a power, just multiply the exponents.

$(x^{27*\frac{1}{3} }y^\frac{1}{3})$

$(x^{9}y^\frac{1}{3})$

As we know that

$x^{1/n} = \sqrt[n]{x}$

so we can write the above expression as

$(x^{9}\sqrt[3]{y})$

Answer 2

Answer:

3∛(xy)

Step-by-step explanation:

(x27y)^1/3

Simplified form will be 3/x³y³

Because;

27^(1/3) = 3

x^(1/3) = ∛x

y^(1/3) = ∛y

Which gives us 3∛(xy)